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Prime 5 Most Complicated Things About Sig Figs (Significant Figures)
Sig Figs, Sig Digs, Satan’s contribution to math and science — whatever you wish to call them, they're one of the crucial hated and commonly confused ideas in science and math. Ignore them at your own peril, since these half points off will add up and turn your A’s into B’s, or your B’s into C’s for those who’re not careful. The thing is, sig figs really are NOT THAT HARD to master, and if you know these 5 ideas, then you definately’ll have a leg up on everyone else who still can’t determine the ins and outs of sig figs.
1. How To Deal With Zeros
Sandwiched zeros are significant
300 has one sig fig, but 303 has three sig figs because the center 0 turns into significant
If trailing zeros come after a decimal level, then they are significant
1.000 (four sig figs) is a more precise measurement than 1.0 (2 sig figs)
If trailing zeros come after a number without a decimal level, then they're NOT significant
5,000 has 1 sig fig, however 5,000. has 4 sig figs because of the decimal level
Leading zeros are NEVER significant
0.0003 has one sig fig, however 0.3003 has four sig figs since the zero’s are sandwiched
2. How To Multiply and Divide With Sig Figs
Plug in every number precisely as it appears within the problem
Look at the number of sig figs in each number
Spherical your reply so it comprises the least number of sig figs out of all the numbers being multiplied or divided
ex: 325.0 (4 sig figs) / 2.0 ( sig figs) = 162.5, but the reply should only have two sig figs, so you’d round it to 160 ( sig figs; 0 is just not a sig fig) as your answer
3. What About Multiplying With Unit Conversions?
The numbers you utilize for unit conversions don't count as sig figs
ex: if you wish to convert 38.5 grams into kilograms, your answer would have three sig figs still, even when you use the conversion 1kg/1,000g
4. Adding and Subtracting With Sig Figs
Sig Figs DO NOT MATTER when adding and subtracting numbers
Instead, your reply ought to contain the least number of decimal places
ex: 4.32 + 5.1 ought to have one decimal point, so you find the exact reply (9.forty two) and spherical it to an answer with one decimal point (9.four)
5. How To Measure Volumes With Sig Figs
There will typically be a curve, or meniscus, in the top of a liquid — always measure the bottom of the meniscus
If you end up measuring the amount of something in a beaker or graduated cylinder, look at each tick mark, then go one decimal point further when recording your calculation
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